Solution equation: (2x-1 of 4) = (2x of 3) - 2

Solution equation: (2x-1 of 4) = (2x of 3) - 2

solution
is this one?
(2x-1)/4=2x/3-2
Multiply both sides by 12
3(2x-1)=8x-24
6x-3=8x-24
6x-8x=-24+3
-2x=-21
x=21/2

Finding x with cube of 27x-2 = 0

27x³/4-2=0
27x³/4=2
27x³=8
3x=2
x=2/3

1 / 4 (2x + 1) cube = 54 for X

(2x + 1) ^ 3 = 54.4 = 216, so 2x + 1 = 6, x = 5 / 2

It is known that a triangle and its three sides are 15, 19 and 23 respectively. If its three sides are shortened by X to form an obtuse triangle, the value range of X is obtained

Obtuse triangle satisfies: A ^ 2 + B ^ 2 < C ^ 2
So (15-x) ^ 2 + (19-x) ^ 2 < (23-x) ^ 2
Reduced to: x ^ 2-22x-57

If the definition field of function y = x2-3x-4 is [0, M], and the value range is [− 254, − 4], then the value range of M is ()
A. （0，4]B. [−254，−4]C. [32，3]D. [32，+∞)

Y = x2-3x-4 = x2-3x + 94-254 = (x-32) 2-254, the definition field is [0, M], then when x = 0, the function value is the largest, that is, y max = (0-32) 2-254 = 94-254 = - 4, and the value field is [- 254, - 4], that is, when x = m, the function is the smallest and Y min = - 254, that is - 254 ≤ (m-32) 2-254 ≤ - 40 ≤ (m-32) 2 ≤ 94, that is, M

F (x, 2x) = x ^ 2 + 3x. The partial derivative of a function to X is 6x + 1, and its partial derivative to y is obtained

The partial derivative of X is 6x + 1 --- > F (x, y) = 3x ^ 2 + X + C (y) f (x, 2x) = x ^ 2 + 3x --- > 3x ^ 2 + X + C (2x) = x ^ 2 + 3x --- --- > C (2x) = - 2x ^ 2 + 2x --- > C (x) = X-1 / 2x ^ 2 --- > C (y) = y - 1 / 2Y ^ 2F (x, y) = f (x, y) = 3x ^ 2 + X + Y - 1 / 2Y ^ 2F (x

Put 8 pieces on each side of a square. How many pieces can you put on the four sides at most? How many can you put at least? (use 0 for chess pieces)

As shown in the figure: 8 × 4 = 32 (pieces), 8 × 4 - 4 = 28 (pieces). A: it needs 32 pieces at most and 28 pieces at least

The maximum value of quadratic function y = - x ^ 2 + 4x + m-2 is - 5 to find the value of M
About parabola!

y=-x^2+4x+m-2
=-(x^2-4x+4)+m+2
=-(x-2)^2+m+2
Its maximum value is obtained when x = 2
y（2）=m+2=-5
m=-7

Given that the function y = (k - 2) x ^ (k - 3) is an inverse proportional function, we can find the value of K

Because: the inverse proportion function is y = K / X
So: K-3

First, simplify: A-B / a-Ab △ (a + 2Ab + B / a), when B = - 1, then select a suitable integer a from the range of - 2 < a < 2 to evaluate

[(a + b) (a-b)] / [a (a-b)] / [(a + b) ^ 2 / a] = 1 / (a + b) = 1 / (A-1) because the denominator cannot be 0, so a = 0, the original formula = - 1